Answer
common factor $(x+5)$
x-intercept=3, y-intercept=1.5,
vertical asymptotes $x=-1,2$, horizontal asymptote $y=0$
Domain {$x|x\ne-5,-1,2$}, Range $(-\infty,0.1]\cup[1,\infty)$
Work Step by Step
Factor the numerator as $(x+5)(x-3)$
Test $x=-5,3$ for a zero in the denominator and use synthetic division to factorize.
$r(x)=\frac{(x+5)(x-3)}{(x+5)(x-2)(x+1)}$
common factor $(x+5)$
x-intercept=3, y-intercept=1.5,
vertical asymptotes $x=-1,2$, horizontal asymptote $y=0$
Domain {$x|x\ne-5,-1,2$}, Range $(-\infty,0.1]\cup[1,\infty)$
